### Vector Addition and Subtraction

Draw a scaled diagram of a vector of magnitude 100cm at 30 degrees above the horizontal and use trigonometry to determine its x and y components.

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Draw a scaled diagram of a vector of magnitude 100cm at 30 degrees above the horizontal and use trigonometry to determine its x and y components.

Please see attached file for the diagram. Three vectors are shown in Fig. 3-41 (A = 66.0, O = 52.0 degrees). Their magnitudes are given in arbitrary units. Determine the sum of the three vectors. (a) Give the resultant in terms of components. Rx = ? Ry = ? (b) What is the magnitude of the resultant? What is the res

Consider the action for a particle in a potential U. a. Show that an extremal path is never that of a local maximum for the action. ("Local" means relative to nearby paths). b. Find an example in which an extremal path is that of a local minimum for the action. c. Find an example in which an extremal path is not that of a

What is the resultant displacement if we follow these directions? 75.0 m N 95.0 m at 18.0 degrees N of E 65.0 m at 34.0 Degrees W of N 25.0 m SW 20.0 m E

Calculate the following the attached dot product questions. Thanks.

Three vectors have the same magnitude of 14 units. They make angles of t, 2t, and 3t with respect to the x axis, where t = 20 degrees. What is their vector sum?

On the problem, or any problem how do you know which x or y vector to draw first and which or where to get your angles. Where put theta? Please explain and help any way you can simple enough for me to understand.

Finding the vector sum of three forces 1) Experimental method: Use F1 of 160g at 280 degrees, F2 of 105 grams at 60 degrees and F3 of 75g at 15 degrees counter clockwise from the +y axis. Determine the equilibriant and the resultant of the three vectors experimentally. Record magnitude and direction of resultant. Draw a

Please show step-by-step procedure with answers. This is the way I learn by seeing everything done with details, etc. Thanks. There are three attachments.

Please give step by step explanations with answers so I can learn. There are 3 attachments with 1 diagram and then problems.

Please give the solution and step by step instructions on how to do these. I learn by examples. 1) Vector A has a magnitude of 10. Vector B has a magnitude of 7. The magnitude of the vector sum of A and B is 17 3 -3 between 17 and -3 none of these 2) To find magnitude of a vector calc the sum of its components

If A = (12i - 16j) and B = (-24i+10j), what is the magnitude of the vector C=(2A-B)? Answers: a) 42 b) 22 c) 64 d) 90 An archer shoots an arrow with a velocity of 45 m/s at an angle of 50 degrees with the horizontal. What is the height of the arrow at a point 150 meters downrange? Answers: a) 4.7 m b) 47.0 m c) 5

Question: In a yacht race the boats sail around three buoys. What is the displacement from the last buoy to the starting point? (a) unit vector notation (b) magnitude and direction? From the origin to Buoy #1 is R1, From Buoy #1 to Buoy #2 is R2, (30 degrees clockwise from R1) From Buoy #2 to Buoy #3 is R3. (120 degree

Prove that S*(PxQ) = P*(QxS) where * is dot product and x is cross product if S=Sxi+Syj+Szk P=Pxi+Pyj+Pzk Q=Qxi+Qyj+Qzk

In 1992, Akira Matsushima, from Japan, rode a unicycle across the United States, covering about 4800 km in six weeks. Suppose that, during that trip, he had to find his way through a city with plenty of one way streets. In the city center, Matsushima had to travel in sequence 280 m north, 220 m east, 360 m north, 300 m west, 1

A) Vector E has a magnitude of 17.0 cm and is directed 27.0 degrees counterclockwise from the +x axis. Express it in unit vector notation. b) Vector F has a magnitude of 17.0 cm and is directed 27.0 degrees counterclockwise from the +y axis. Express it in unit vector notation. c) Vector G has a magnitude of 17.0 cm and is dire

I'm having trouble working with the problem attached.

What is the electric force (with direction) on an electron in a uniform electric field of strength 2780 N/C that points due east? Take the positive direction to be east.

A hunter aims directly at a target (on the same level) 103 m away. If the bullet leaves the gun at a speed of 255 m/s, by how much will it miss the target? I'm assuming that the bullet will miss the target because it arcs down toward the ground as it moves horizontally. But don't I need to know how far off the ground it is in

"The figure below (please see attached Word file) shows three vectors of lengths A = 67.8, B = 39.5, and C = 47.0. The angles are theta(a) = 28.8° and theta(b) = 54.5°, and C points along the negative y-axis. Determine the length of the vector A - C." The book indicates that the equation for subtraction of vectors is si

While exploring a cave a woman starts at the entrance and moves the following distances. She goes 75.0m north,250m east, 125m @an angle of 30 degrees north of east and 150m south. Find the resultant displacement from the cave entrance.

A golfer on the green takes three strokes to sink the ball. The successive diplacements are 4.00m to the north, 2.00m north east and 1.00m at 30 degrees west of south. Starting at the same initial point, an expert golfer could make the hole in what single-displacement?

Determine the position of the center of mass of a solid triangular pyramid with vertices at (0; 0; 0), (1; 0; 0), (1; 1; 0), and (1; 1; 2).

Two vectors having equal magnitudes (A) makes an angle z with each other. Find the magnitude and direction of the resultant and prove that the resultant of two equal vectors bisects the angle between them.

Two vectors A and B have the same length A and are at right angles. What is the length of the vector A + 2B?

Three vectors have the same length (L) and form an equilateral triangle. Find the magnitude and direction of the vectors: (a)A+B (b)A-B (c)A+B+C (d)A+B-C. Please see attachment below for figure.